A critical examination of the main features of quantum and classical mechan
ics allowed the authors to formulate a criterion to decide whether conserva
tion laws are valid or not in measurement-like individual processes. Postul
ates of quantum mechanics regarding measurements were applied to certain pr
ocesses occurring in an isolated system consisting of a particle and an ene
rgy-measuring device. The analysis of the results suggested that the energy
is not conserved in those individual processes. To amend this, the authors
assumed that the energy measuring device changes in such a way as to conse
rve the energy of the whole system, and showed that this hypothesis leads t
o surprising results.